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Finding the Third Proportional to 34,554 and 54,144

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Solution

The third proportional to 34,554 and 54,144 is: 84,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554 : 54,144 = 54,144 : x
  2. Step 2: Convert to fraction form
    34,554/54,144 = 54,144/x
  3. Step 3: Cross multiply
    34,554x = 54,144 × 54,144
  4. Step 4: Simplify right side
    34,554x = 2,931,572,736
  5. Step 5: Solve for x
    x = 2,931,572,736/34,554
  6. Step 6: Final answer
    x = 84,840.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.